Chapter 13.2, Problem 13E

### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

Chapter
Section

### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Evaluate the definite integrals in Problems 1-32. 17.   ∫ 3 4 ( x − 4 ) 9   d x

To determine

To calculate: The value of the integral 34(x4)9dx.

Explanation

Given Information:

The provided integral is 34(x4)9dx.

Formula used:

To calculate a definite integral, evaluate the indefinite integral and then substitute the limits of the integral.

The power rule of integral,

undu=un+1n+1

Calculation:

Consider the integral 34(x4)9dx.

Calculate a definite integral, evaluate the indefinite integral and then substitute the limits of the integral.

Use the formula undu=un+1n+1 to evaluate the integral.

34(x4)9dx=((x4)9+19+1)34

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